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Simplifying 5 + 3(m + -4) = 2(m + 1) Reorder the terms: 5 + 3(-4 + m) = 2(m + 1) 5 + (-4 * 3 + m * 3) = 2(m + 1) 5 + (-12 + 3m) = 2(m + 1) Combine like terms: 5 + -12 = -7 -7 + 3m = 2(m + 1) Reorder the terms: -7 + 3m = 2(1 + m) -7 + 3m = (1 * 2 + m * 2) -7 + 3m = (2 + 2m) Solving -7 + 3m = 2 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -7 + 3m + -2m = 2 + 2m + -2m Combine like terms: 3m + -2m = 1m -7 + 1m = 2 + 2m + -2m Combine like terms: 2m + -2m = 0 -7 + 1m = 2 + 0 -7 + 1m = 2 Add '7' to each side of the equation. -7 + 7 + 1m = 2 + 7 Combine like terms: -7 + 7 = 0 0 + 1m = 2 + 7 1m = 2 + 7 Combine like terms: 2 + 7 = 9 1m = 9 Divide each side by '1'. m = 9 Simplifying m = 9
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